Carrying locally produced (read: hire CBS Sports to do the game, but brand it as "Titans Football" instead) games has nothing to do with carrying the NFL Network feed of a game over your local airwaves.

That's a separate contract, bid on separately from the contracts for producing and carrying preseason games.

For instance, there are markets where one channel has the deal to re-broadcast ESPN Sunday Night Football when their home market team is on, but one of their competitors has the deal to carry NFL Network games featuring that same team.